Approximation of eigenvalues for a class of differential problems on an infinite interval

• Autorzy: Teresa Regińska
• Języki publikacji: EN

Abstrakty

EN

The author investigates the problem (1) Lu=λu, u(0)=0, u∈L2(0,∞), where L=d2/dt2+a(t)d/dt+b(t) and domL={u∈L2(0,∞):du/dt absolutely continuous, d2u/dt2∈L2(0,∞), u(0)=0}. She proves that under certain conditions it is possible to approximate the spectrum of (1) by means of the spectrum of a suitable problem of the form −u′′+c(t)u=λu, u(0)=0, u′(n)=α(n)u(n).The review of the paper is available at MR0518666.

PL

The author investigates the problem (1) Lu=λu, u(0)=0, u∈L2(0,∞), where L=d2/dt2+a(t)d/dt+b(t) and domL={u∈L2(0,∞):du/dt absolutely continuous, d2u/dt2∈L2(0,∞), u(0)=0}. She proves that under certain conditions it is possible to approximate the spectrum of (1) by means of the spectrum of a suitable problem of the form −u′′+c(t)u=λu, u(0)=0, u′(n)=α(n)u(n).

Słowa kluczowe

EN

Spectral theory, Sturm-Liouville, and scattering theory; eigenfunctions, eigenvalues, and expansions; Eigenvalue problems

PL

Teoria spektralna, funkcje własne, wartości własne

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1978
• Tom: 6
• Numer: 13

Daty

wydano

1978

online

1978-11-01

Twórcy

autor

Teresa Regińska

Identyfikatory

DOI

10.14708/ma.v6i13.1425